名校
解题方法
1 . 函数
在
上既没有最大值又没有最小值,则
取值值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cc5659bf0bd7e9d3913e549e5c897d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7680ad50640987c3c10d91c8864e361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2020-03-05更新
|
673次组卷
|
3卷引用:四川省绵阳市三台中学实验学校2019-2020学年高一上学期10月月考数学试题
解题方法
2 . 已知函数
是定义在
上的增函数,则满足
的
取值
范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e1b05befa58e73163f3909b8f1660d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2bff65728e6d011a1ed5117600fa3e.png)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994254336/STEM/bd2b4f05a1454df5ae7258d85dd0abfb.png)
范围是
A.(![]() ![]() | B.[![]() ![]() | C.(![]() ![]() | D.[![]() ![]() |
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名校
解题方法
3 . 已知函数
.
(1)
,不等式
恒成立,求实数
的范围;
(2)若关于
的不等式
在
有解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc97f0fd545876b45132a9918ad9f6c1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346a8575de755941b7de759f17449d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a89be1009f96de083175f681f6ae1d.png)
您最近一年使用:0次
名校
4 . 已知二次函数
满足
且
.
(1)求
的解析式;
(2)若方程
,
时有唯一一个零点,且不是重根,求
的取值范围;
(3)当
时,不等式
恒成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdcb20fdc8bab941d857045172f20a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132d41feaf28a5d96470d23780262b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7a07624cc738da030ed9f2ca79e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-02-22更新
|
459次组卷
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3卷引用:四川省绵阳市三台县三台中学校2022-2023学年高一下学期第一次检测数学试题
名校
5 . 若一个函数当自变量在不同范围内取值时,函数表达式不同,我们称这样的函数为分段函数.下面我们参照学习函数的过程与方法,探究分段函数
的图象与性质.列表:
描点:在平面直角坐标系中,以自变量x的取值为横坐标,以相应的函数值y为纵坐标,描出相应的点,如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/97747cd9-4823-4a0f-9b13-31035c46ae28.png?resizew=161)
(1)如图,在平面直角坐标系中,观察描出的这些点的分布,作出函数图象;
(2)研究函数并结合图象与表格,回答下列问题:
①点
,
,
,
在函数图象上,
,
;(填“>”,“=”或“<”)
②当函数值
时,求自变量x的值;
③在直线
的右侧的函数图象上有两个不同的点
,
,且
,求
的值;
④若直线
与函数图象有三个不同的交点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64249fb7d80d66921ab33b8302ad8b05.png)
x | … | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | 0 | ![]() | 1 | ![]() | 2 | ![]() | 3 | … |
y | … | ![]() | ![]() | 1 | ![]() | 2 | ![]() | 1 | ![]() | 0 | ![]() | 1 | ![]() | 2 | … |
描点:在平面直角坐标系中,以自变量x的取值为横坐标,以相应的函数值y为纵坐标,描出相应的点,如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/97747cd9-4823-4a0f-9b13-31035c46ae28.png?resizew=161)
(1)如图,在平面直角坐标系中,观察描出的这些点的分布,作出函数图象;
(2)研究函数并结合图象与表格,回答下列问题:
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc03da1cfbeb4d810303049714e5257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6bc7581668c5fe4c1e4375c51e744ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b41fd7b4b4d52fbcf387953e2ed093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f15ac704c98c32c26deff8cd70f2a552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
②当函数值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
③在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a307de32c527dee32c36caef0df84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ff142ec087a0d0c606a60a14365d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc027d4355dc20e17cc2da1e5e76d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8637836592d705a0e9650c1f99c5f4.png)
④若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
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2020-07-06更新
|
322次组卷
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3卷引用:四川省绵阳市绵阳第一中学2020-2021学年高一上学期10月月考数学试题
名校
解题方法
6 . 已知
,
.
(1)若
在
恒成立,求
的取值范围;
(2)若
有两个极值点
,
,求a的范围并证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c445de35c98b0dc933c61cb37c653d55.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be2a67fd62d86e96550058e2d888fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1215d01764a3b041d2f4497806da95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac4134df42987a1cbdc9b1ff1d1a83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2b796bf1498dd33af327ba1d5aa4ad.png)
您最近一年使用:0次
2018-03-21更新
|
716次组卷
|
4卷引用:四川省绵阳市南山中学2020-2021学年高三下学期开学考试数学(文)试题
7 . 给出下列四个命题:
(1)函数
的图象过定点(1,0);
(2)函数
与函数
互为反函数;
(3)已知函数
是定义在
上的偶函数,当
时,
,则
的解析式为
;
(4)若
,则
的取值范围是
;
(5)函数
在区间
上单调递减,则
的范围是
;
其中所有正确命题的序号是_________ .
(1)函数
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/802f65255d7e454d8e6566bec967c625.png?resizew=147)
(2)函数
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/ce68c6bcd4cb427297511eadc3189ae5.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/166256e5a9bd4becbbe1e7bb8a5b38ff.png?resizew=44)
(3)已知函数
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/eaa72b568a574cf894cdce7439a98311.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/70145857b8614aabbed9251d9c4fb5a9.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/6db0468bab51423683422bc86f241b35.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/69686ab3a9f24caaab18e374a74c37a5.png?resizew=99)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/eaa72b568a574cf894cdce7439a98311.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/940694a60f1542a9b96a24a4f6ae9b61.png?resizew=93)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef807780b7dbc827f1846e7a8cda7d1.png)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/8f4e0b32f2224cc8aee53886df0094bc.png?resizew=14)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/b932f8df800c480f8b8881aae929366d.png?resizew=122)
(5)函数
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/6ca168cca972470eac3dc4a07b34e033.png?resizew=107)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/c2f45da188234463a0727d7a43b3a699.png?resizew=41)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/5e4ce31da0d04eea9c04be07cd26abe2.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572445988380672/1572445994409984/STEM/2d57206c75b94fc08b2531d102113eb9.png?resizew=36)
其中所有正确命题的序号是
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8 . 已知二次函数
(
为非零常数)的图象与坐标轴有三个交点,记过这三个交点的圆为圆
.
(1)求
的取值范围;
(2)试证明圆
过定点(与
取值无关),并求出定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536826891701f9a9be68203eaab7e66f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)试证明圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2016-12-04更新
|
488次组卷
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2卷引用:2016届四川省绵阳市高中高三上第二次诊断性考试文科数学试卷
名校
9 . 已知函数
.
(1)解不等式
;
(2)若关于
的不等式
的解集不是空集,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715715e7bd9142cdad07e91df7c7f140.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afa9af0b431836188a83a2cdbebdf01.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a84acec78a0c322605fcf4478ad5b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-11-24更新
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2卷引用:四川省绵阳市三台县三台中学校2024届高三上学期二诊模拟数学(理)试题(一)
名校
10 . 已知函数
.
(1)求不等式
的解集;
(2)若
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21290e92a52eef28acdab49be9d05a33.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de0fb6a05a00e69c861cbc5c00a8acc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572b90c73f3b843eac796e704359323b.png)
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2023-10-09更新
|
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3卷引用:四川省绵阳市南山中学实验学校2024届高三上学期12月月考数学试题